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Finding the Fourth Proportional to 29,649.40, 44,473.84 and 12,106.93

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Solution

The fourth proportional to 29,649.40, 44,473.84 and 12,106.93 is: 18,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.40 : 44,473.84 = 12,106.93 : x
  2. Step 2: Convert to fraction form
    29,649.40/44,473.84 = 12,106.93/x
  3. Step 3: Cross multiply
    29,649.40x = 44,473.84 × 12,106.93
  4. Step 4: Simplify right side
    29,649.40x = 538,441,667.71
  5. Step 5: Solve for x
    x = 538,441,667.71/29,649.40
  6. Step 6: Final answer
    x = 18,160.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.